What is the maximum number of chairs and tables Ben can make in a month.
Answer:
Maximum number of tables he can make per month = 100 tables
Maximum number of chairs he can make per month = 400 chairs
Step-by-step explanation:
He is not able to make more than 500 pieces of furniture per month
Also, he needs to make at least 25 tables and at least 100 chairs each month.
x is number of tables and y is number of chairs per month.
Thus, inequality to represent this is;
x + y ≤ 500
Constraints are;
x ≥ 25
y ≥ 100
Since minimum is 25 tables and 100 chairs, we say that 1 table would need 100/25 = 4 chairs
Thus, ratio of tables to chairs should always be 1:4
Thus,
Maximum number of tables per month = 1/5 × 500 = 100 tables
Maximum number of chairs per month = 4/5 × 500 = 400 chairs
Answer:
2
Step-by-step explanation:
5x - 10 = 0
+10 +10
5x = 10
/5 /5
x = 2
Step-by-step explanation:
We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):
| 1 2 | 3 4 | 5 6 | 7 8 | 9 10 |
So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).
Answer:
22.82
Step-by-step explanation:
it is about 22.82 when taken 14% away
Answer:
3,264
Step-by-step explanation:
You have to use the straight line in the middle of the triangle as the height, the 12 below it as length, and the 34 on the side as width. And I must say, this prism is quite WIDE
